Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
SCIE
SCOPUS
- Title
- Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
- Authors
- LEE, DONGHYUN
- Date Issued
- 2017-07
- Publisher
- SIAM PUBLICATIONS
- Abstract
- We consider viscous free-boundary magnetohydrodynamics (MHD) under vacuum in R-3, especially when the vacuum magnetic field is identically zero. It is a central problem in mathematics to perform the vanishing viscosity limit to get a solution of a hyperbolic inviscid system. However, boundary layer behavior happens near the free boundary, so the existence time T-epsilon -> as the kinematic viscosity epsilon -> 0 in standard Sobolev space. Inspired by [N. Masmoudi and F. Rousset, Arch. Ration. Mech. Anal., 223 (2017), pp. 301-417], we use Sobolev conormal space to derive uniform regularity in viscosity E. Finally, we get a solution of inviscid free-boundary MHD when the initial magnetic field is zero on the free boundary and in vacuum.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/94532
- DOI
- 10.1137/16M1089794
- ISSN
- 0036-1410
- Article Type
- Article
- Citation
- SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 49, no. 4, page. 2710 - 2789, 2017-07
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